Question 1

Simplify $5x^3-2xy-6+6 x^3-2-7xy+8$

Accepted Answer

$11x^3-9xy$

Answer

$-x^3+9xy$

Answer

$11x^3+9xy+16$

Answer

$11x^3-9xy-16$

Question 2

Write an expression in its simplest form for the perimeter of the parallelogram.

Accepted Answer

$6x+14y$

Answer

$14x+6y$

Answer

$3x+7y$

Answer

$8x+12y$

Question 3

Write an expression in its simplest form for the area of the parallelogram.

Accepted Answer

$4.5 x^2$

Answer

$4.5 x$

Answer

$21xy$

Answer

$31.5x^2y$

Question 4

Simplify $\frac{6 x^2 y^{-3} }{18y x^{-1} }$

Accepted Answer

$\frac{ x^3}{ 3y^4}$

Answer

$\frac{ x}{ 3y^2}$

Answer

$\frac{ 3x^3}{ y^4}$

Question 5

Simplify $\sqrt{x^4y^6}$

Accepted Answer

$x^2y^3$

Answer

${ x^6y^4}$

Answer

$\frac{ x^4y^6 }{ 2 }$

Answer

$({ x^4y^6 })^{\frac{ 1 }{ 2 }}$

Question 6

Simplify ($5a^2b^3)^2$

Accepted Answer

$25a^4b^6$

Answer

$25a^4b^5$

Answer

$5a^4b^6$

Answer

$5a^4b^5$

Question 7

Work out the value of $x$ for $\frac{ 3^{-2} 	imes3^8 }{ 3^7}=3^x$

Accepted Answer

$x = -1$

Answer

$x = 1$

Answer

$x = -3$

Answer

$x = 3$

Question 8

Work out the value of $x$ for $2^5 	imes4^2=8^x$

Accepted Answer

$x=3$

Answer

$x=2$

Answer

$x=6$

Answer

$x=-2$

Question 9

Solve $\frac{ 5-x }{ 2 }=12$

Accepted Answer

$x=-19$

Answer

$x=9$

Answer

$x=13$

Answer

$x=-11$

Question 10

Solve $\frac{ 2 }{ y }=5$

Accepted Answer

$y=\frac{2}{5}$

Answer

$y=\frac{5}{2}$

Answer

$y=-\frac{2}{5}$

Answer

$y=-\frac{5}{2}$

Question 11

Solve $3 + p = 4p - 6$

Accepted Answer

$p=3$

Answer

$p=1$

Answer

$p=-4$

Answer

$p=5$

Question 12

Solve $3(3 - 2p)= 4 - 11p$

Accepted Answer

$p=-1$

Answer

$p=1$

Answer

$p=3$

Answer

$p=5$

Question 13

In a golf game, Sarah plays $n$ holes, Ewan plays five fewer than Sarah and Cameron plays twice as many as Sarah.
If they play $35$ holes altogether, form and solve an equation to work out how many holes Sarah plays.

Accepted Answer

$10$ holes

Answer

$8$ holes

Answer

$14$ holes

Answer

$12$ holes

Question 14

Rosalind thinks of a number. She multiplies her number by two, adds three and then writes the answer. Next she multiplies her original number by three, subtracts four and writes the answer. Rosalind realises she has written the same answer both times.

What is Rosalind’s number?

Accepted Answer

$7$

Answer

$10$

Answer

$11$

Answer

$13$

Question 15

This shape is a rectangle. If the perimeter of the rectangle is 34cm, work out the area of the rectangle.

Accepted Answer

$70	ext { cm}^2$

Answer

$75	ext { cm}^2$

Answer

$85	ext { cm}^2$

Answer

$60	ext { cm}^2$

Question 16

What is the gradient of the line shown?

Accepted Answer

$1$

Answer

$3$

Answer

$\frac{1}{2}$

Answer

$1\frac{1}{2}$

Question 17

What is the equation of the line shown?

Accepted Answer

$y = -3	ext{x}$

Answer

$y = -	ext{x}$

Answer

$y = 3	ext{x}$

Answer

$y = - -1.5	ext{x}$

Question 18

Work out the $	ext {gradient}$ and $y	ext{-intercept}$ of $y =5x+1$

Accepted Answer

$	ext {Gradient}= 5, y	ext{-intercept}= 1$

Answer

$	ext {Gradient}= -5, y	ext{-intercept}= -1$

Answer

$	ext {Gradient}= -1, y	ext{-intercept}= -5$

Answer

$	ext {Gradient}= 1, y	ext{-intercept}= 5$

Question 19

Work out the $	ext {gradient}$ and $y	ext{-intercept}$  of $2y =x+6$

Accepted Answer

$	ext {Gradient}=\frac{1}{2}, y	ext{-intercept}= 3$

Answer

$	ext {Gradient}=3, y	ext{-intercept}= \frac{1}{2}$

Answer

$	ext {Gradient}=2, y	ext{-intercept}= -3$

Answer

$	ext {Gradient}=\frac{1}{2}, y	ext{-intercept}= -3$

Question 20

Work out the $	ext {gradient}$ and $y	ext{-intercept}$ of $8x+4y =3$

Accepted Answer

$	ext {Gradient}= -2, y	ext{-intercept} =\frac{3}{4}$

Answer

$	ext {Gradient}= -\frac{3}{4}, y	ext{-intercept} =2$

Answer

$	ext {Gradient}= \frac{3}{4}, y	ext{-intercept} =-2$

Answer

$	ext {Gradient}= 2, y	ext{-intercept} =\frac{3}{4}$

Question 21

Which of these lines is parallel to $y=4x-8$?

Accepted Answer

$y=4x+3$

Answer

$y=3x-8$

Answer

$y=-4x-8$

Answer

$y=3-4x$

Question 22

Work out the equation of the line that passes through the two points $(0, -1)	ext{ and }(2, 3)$

Accepted Answer

$y=2x-1$

Answer

$y=-2x-1$

Answer

$y=x-2$

Answer

$y=2x+1$

Question 23

Work out the equation of the line that passes through the two points $(-3, 5)	ext{ and} (1, 1)$

Accepted Answer

$y=-x+2$

Answer

$y=x+5$

Answer

$y=x+3$

Answer

$y=3x+3$

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